Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics

Physics – Mathematical Physics

Scientific paper

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This is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Cz

Scientific paper

10.3842/SIGMA.2007.088

We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian
dynamics such that their complex projections are one-parameter semigroup
dynamics in the space of complex quasi-Hermitian density matrices. As an
example, the complex projection of a spin-1/2 system in a constant
quasianti-Hermitian quaternionic potential is considered.

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